Question

On a map the United States, the scale measures 1 cm to 20 miles. A car can travel 35 miles for every 1 gallon of gas. On average, gas costs $3.10/gallon along the route of your trip. How much will you pay for gas if your trip measures 32.5 cm on the map?

Answer 1

Given Data:

1 cm= 20 miles.

Car travels 35 miles/gallon.

Cost of gas= $ 3.10/gallon.

Total trip measures =32.5 cm.

The distance travelled by the car can be determined as,

$\begin{gathered} d=32.5\operatorname{cm}\times\frac{20\text{ miles}}{1\text{ cm}} \\ =650\text{ miles.} \end{gathered}$

The amount of gas used during travel can be determined as,

$\begin{gathered} A=\frac{650\text{ mil}es}{\frac{35\text{ miles}}{gallon}} \\ =18.57\text{ gallons} \end{gathered}$

The cost of the trip can be determined as,

$\begin{gathered} C=18.57\text{gallons}\times\frac{3.10\text{ USD}}{gallon} \\ =57.57\text{ USD} \end{gathered}$

Thus, the cost of the trip is $ 57.57.